+0  
 
0
30
1
avatar

The sum of three positive integers is 42. The smallest integer is five less than the middle integer. The middle integer is three less than half the greatest integer. Define a variable, write an equation and solve to find the three integers.

 Sep 1, 2020
 #1
avatar+1042 
+2

Form an equation, but with what? You'll need variables, so make them! (Here is a lovely recipe for variables)

 

Let:

 

s = smallest number

m = middle number

l = largest number

 

But...you can't just add that!

 

Let's write everything in terms of "m".

 

s = m - 5

m = m

l = 2m + 3

 

Now...we add!

 

m - 5 + m + 2m + 3 = 42

4m - 2 = 42

4m = 44

m = 11

 

Now, we plug m back into the original variables:

 

s = 11 - 5 = 6

l = 2(11) + 3 = 25

 

So, the 3 numbers are [6, 11, 25]

 

Did you actually press on the link? No recipe? Just a definition? Sorry...have some cookies! (They are up at the top shelf of my pantry...they taste nice, but not as good as Ginger's banana daiquiri! I managed to sneak a sip...hope she doesn't realize!)

 

:)

 Sep 1, 2020

25 Online Users

avatar